A chemical engineer must calculate the maximum safe operating temperature of a h

Question

A chemical engineer must calculate the maximum safe operating temperature of a high-pressure gas reaction vessel. The vessel is a stainless-steel cylinder that measures 44.0 cm wide and 52.8 cm high. The maximum safe pressure inside the vessel has been measured to be 3.10 MPa. For a certain reaction the vessel may contain up to 5.14 kg of sulfur hexafluoride gas. Calculate the maximum safe operating temperature the engineer should recommend for this reaction. Write your answer in degrees Celsius. Round your answer to 3 significant digits. temperature: | | °C

Explanation / Answer

Solution-

Volume V = volume of cylinder

= pi x (diameter/2)^2 x height

= 3.1416 x (44.0/2)^2 x 52.8 = 80284.22 cm3 = 0.080284 m3


Pressure P = 3.10 MPa = 3.10 x 10^6 Pa

Molar gas constant R = 8.314 J/mol.K


Moles of CO = n = mass/molar mass of CO

=5140/28.01 = 183.50 mol


Ideal gas equation: PV = nRT


Temperature T = PV/nR

= 3.10 * 10^6 *0.080284/(183.50 * 8.314)

= 163.13 K = -110.02 deg C

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